Details

analyze371.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	243×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	21×	body	80	invalid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+ (* x (+ y z)) (* z 5.0))
6.0ms	(* x (+ y z))

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x (+ y z)) (* z 5.0))
8.0ms	(* x (+ y z))

simplify126.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4187	168
3	5001	168

prune68.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(+ (* x y) (* z (+ x 5.0)))
6.0ms	(* z (+ x 5.0))

series15.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x y) (* z (+ x 5.0)))
6.0ms	(* z (+ x 5.0))

simplify136.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4791	168
3	5002	168

prune69.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0b

Counts

47 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
0.0b	(- (* x x) (* 5.0 5.0))
3.6b	(* z (- (* x x) (* 5.0 5.0)))
6.9b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`times-frac` `associate-/r*`
4×	`flip3--` `associate-r/` `associate-r*` `flip--` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

8.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
4.0ms	(- (* x x) (* 5.0 5.0))
7.0ms	(* z (- (* x x) (* 5.0 5.0)))
13.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series60.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms	(- (* x x) (* 5.0 5.0))
16.0ms	(* z (- (* x x) (* 5.0 5.0)))
18.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	406	650
1	1888	567
2	5001	533

prune158.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0b

Counts

96 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 5.0))
0.0b	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.2b	(* z (sqrt (+ x 5.0)))
0.3b	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

5.0ms	(sqrt (+ x 5.0))
7.0ms	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
12.0ms	(* z (sqrt (+ x 5.0)))
16.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ x 5.0))
15.0ms	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
16.0ms	(* z (sqrt (+ x 5.0)))
9.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	467	671
1	2137	585
2	5001	572

prune123.0ms

Filtered

62 candidates to 94 candidates (-51.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	94	6	100

Merged error: 0b

Counts

100 → 6

regimes167.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

analyze335.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample426.0ms

Algorithm

intervals

Results

209.0ms	7694×	body	80	valid
19.0ms	616×	body	80	invalid
12.0ms	104×	body	1280	valid
10.0ms	104×	body	640	valid
5.0ms	66×	body	320	valid
2.0ms	32×	body	160	valid

Details

analyze371.0ms

sample21.0ms

simplify8.0ms

prune4.0ms

localize10.0ms

rewrite14.0ms

series17.0ms

simplify126.0ms

prune68.0ms

localize7.0ms

rewrite11.0ms

series15.0ms

simplify136.0ms

prune69.0ms

localize12.0ms

rewrite35.0ms

series60.0ms

simplify96.0ms

prune158.0ms

localize10.0ms

rewrite44.0ms

series46.0ms

simplify77.0ms

prune123.0ms

regimes167.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze335.0ms

sample426.0ms

Profiling